Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

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Question 765651: Can someone help me with this problem?
(5+i)/(3-2i)
Possible answers:
a)(15+2i)/(9-4i)
b)(15-2i)/(3+2i)
c)(13+13i)/13
d)(13+13i)/13

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Question 765552: log3 (x^2 -3x-1)=0
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Question 765940: what is the solution to:
implicit differentiation
e^x + e^y = e^x+y

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Question 765977: Can you help me with this problem?
Solve by means of implicit differentiation:
(e^x) + (e^y) = (e^(x+y)).
Thanks tutors.

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Question 765977: Can you help me with this problem?
Solve by means of implicit differentiation:
(e^x) + (e^y) = (e^(x+y)).
Thanks tutors.

Click here to see answer by rothauserc(4718) About Me 

Question 766237: 5^x/10+1=8
x=?

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Question 766468: 4^-3x+5 =10
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Question 766502: 1/4 log 2 16 + 1/2 log 2 49 = log 2 x
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Question 766504: two variable quantities x and y are related by equation y=a(b^x),whwre a and b are constant.When the graph is plotted showing values of ln y in vertical axis and the value of x on the horizontal axis the points lie on a straight line having gradient 1.8 and crossing the vertical axis at the point (0.4.1).Find the value of a and b
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Question 767041: 1. A rectangular piece of paper has area 100squrt2 cm^2. the piece is such that, when it is folded in half along the dashed line as shown, the new rectangle is similar (of the same shape) to the original rectangle. What are the dimensions of the piece of paper?
2. simplify: %282%5E%28a%2B3%29+-+4%2A2%5Ea%29%2F+%282%5E%282a%2B1%29+-+4%5Ea%29
3. simplify, leaving answer with rational denominator
+sqrt%282%29%2F+%282sqrt%282%29+%2B+1%29+%2B+2%2F%28sqrt%283%29+%2B1%29+

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Question 767390: C = 2350 * 10^(0.099 v). When C=3750, find v. can you help me
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Question 767427: i really need help with this problem i cant seem to get it right i worked on this problem over three hours can you please help me??
g = 4.5 e^(0.2 t). When g=4, find t.

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Question 756318: (2^2x-3)-5(2^x)+32
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Question 756786: log5(4x +1) = log5 (2x+7)
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Question 748220: (fog)(x) for f(x)=2x-3 and g(x)=x^2 - 3x - 2 how do I work this out?
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Question 747490: Write without negative exponents: (u^-3)^-4 (u^-8)^9
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Question 755442: can you please explain how to expand this equation...
log(6*11)

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Question 759205: 16k5 divided by 8
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Question 767669: An archaeological artifact is thought to have an age of 3600 years. What C-14 radiation level should it have?
A= -8033 ln[C/15.3], where A is age in years and C is carbon-14 radiation level.
Clear ln with (10^ or e^)???
C value (2 decimals)????
can you help me understand this problem

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Question 767683: please help me solve this problem
The pH of a solution is 8.1, mildly alkaline. What is the concentration of hydronium ions in the solution?
(p = -log[c], where p is pH and c is the concentration.)
c value (E notation, 1 decimal)???

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Question 767683: please help me solve this problem
The pH of a solution is 8.1, mildly alkaline. What is the concentration of hydronium ions in the solution?
(p = -log[c], where p is pH and c is the concentration.)
c value (E notation, 1 decimal)???

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Question 767677: The pH of a solution is 8.1, mildly alkaline. What is the concentration of hydronium ions in the solution?
(p = -log[c], where p is pH and c is the concentration.)
c value (E notation, 1 decimal)????
please help

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Question 767970: can you help me find the temp at 4 min??
We measured the temperature of a cooling cup of cocoa for three minutes. Here are the points we found, with time first and degrees Fahrenheit second: (0, 195.60), (1, 191.69), (2, 187.85), (3, 184.10). Create an exponential model for these data. Temperature at 4 minutes (2 decimals):???

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Question 767982: can you help me with this problem
China is one of the biggest potential markets for US autos. In 2010, there were 1.38E8 car owners in China and the number was growing with a doubling time of 6.3 years. How many car owners would you predict for that country in 2020? Owners (E notation, 2 decimals)??

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Question 767990: i cant get my answer in E notation can someone help me please...
China is one of the biggest potential markets for US autos. In 2010, there were 1.38E8 car owners in China and the number was growing with a doubling time of 6.3 years. How many car owners would you predict for that country in 2020?Owners (E notation, 2 decimals)???

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Question 767958: Phosphorous-24 is a radioactive isotope with a half life of 14.3 days. If you start with 33 grams of that substance, how long will it be before you have only 25 grams remaining? Days (2 decimals):
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Question 767988: can someone please help me with this problem please....
China is one of the biggest potential markets for US autos. In 2010, there were 1.38E8 car owners in China and the number was growing with a doubling time of 6.3 years. How many car owners would you predict for that country in 2020? Owners (E notation, 2 decimals)????

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Question 768043: please help
From your seat at trackside, a certain very loud racecar zooming past puts out a peak sound level of 3.6E-2 watts/square meter. What is the decibel rating of that sound?
d = 10 log w + 120..Decibels (nearest integer)????

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Question 768032: can some one help me solve this problem please
A certain virus has an average doubling time of 28.5 minutes in the human body. How long does it take 1 virus to grow to a billion (1E9) viruses? Time in hours (1 decimal)

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Question 768201: The population of the US currently is growing with a doubling time of about 41 years. If the current population is 310 million of people, how many years will it take us to reach a population of 350 million?
Years to target value (1 decimal):

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Question 768188: can someone help me please????
In testing a certain machined part, it is found that the number of failures, F, increases with hours of use, h, according to the equation F=8.69*ln[h] + 20. Find the number of hours of use which leads to 75 failures.
Hours of use (nearest integer):

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Question 768222: How much energy, Q, is released by an earthquake with a Richter rating, R, of 8.7? Use the function R = log[Q] - 4.4
Energy in joules (E-notation, 1 decimal before the E):

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Question 768215: can someone help me please
How much energy, Q, is released by an earthquake with a Richter rating, R, of 8.7? Use the function R = log[Q] - 4.4

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Question 764423: what is y = 3*5x starting value ?
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Question 764426: what is y = 3*5x starting value ?
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Question 768178: The number of homes in our town with a broadband internet connection has been growing rapidly, as recorded in these points: (0, 3681), (1, 5888), (2, 9422), where the first coordinate is years after we begin to collect data and the second coordinate is the number of wired homes. Develop an exponential model for this scenario, with a base accurate to 2 decimals, then use your model to predict the count for year 4.
Homes with broadband in year 4 (nearest integer, no comma):

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Question 769091: Solve the exponential equation shown below. Round your answer to the nearest thousandth.
12=10^x+3-9

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Question 769231: can someone help me with this probloem its a quadratic formula
Find the solutions of 2x^2 + 5x = 17 and check graphically.
Discriminant (nearest integer)???
Smaller solution (3 decimals)???
Larger solution (3 decimals)???

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Question 769241: Something not too clear, help needed on the following : Slove log 3 (index 3 sqrt 2) x=3 for x.
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Question 769511: can someone help me please solve this quadratic formula
You are driving along the highway when suddenly a large box falls off of a truck in front of you and dumps metal parts all over the roadway. You hit the brakes and decelerate as fast as you can. The distance D in feet that your car travels before you stop is related to your initial speed S by an equation like D = S^2 / 9. Find the initial speed S that corresponds to a stopping distance of 200 feet.
Speed in mph (positive answer only, nearest integer):

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Question 769449: can someone help me solve this quadratic formula word problem please
Your business finds that its revenue R is connected to the price p that you charge by the equation R = -p^2 + 100p. This equation predicts that the revenue will rise with increasing price, but eventually will drop back off as the price gets too high. You wonder what price would generate a revenue of $2500, so you plunk in that R value and rearrange the equation to 0 = p^2 - 100p + 2500. Please find p.
Price in dollars (give either answer, nearest integer)??????????

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Question 769860: 28(132^(39x - 20)) = 12481
A 2.755
B0.345
C1.675
D2.345
E 0.545
F 4.235

5e^(2.1x - 2) = 14
A 1.443
B2.543
C5.343
D2.434
E 1.343
F 0.443

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Question 769859: 10000^3.21^x = 340000
A 0.045
B0.457
C1.376
D0.543
E 0.431
F 2.565



128(11.36)^x = 100
A 2.392
B-0.632
C1.581
D-0.102
E 0.632
F 1.576

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Question 770168: I need to write this in a logarithmic form
64=1/8 -2 exponent
I get -16

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Question 770811: Please help me find these function
*find a function defined by f(x) = ab^x
f(0)= 13.1 f(7) = 17.4

*find a function defined by g(x) = cd^x
f(0) = 4.9 F(7) = 8.7

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910